Method for propagating quasi -p pseudo -acoustic wave, and, system set up to perform near -p pseudo -acoustic wave propagation a computer -implemented method for propagating pseudo -p -acoustic wave that remains stable in anisotropic medium with VaR inclination Stable and not limited to weak anisotropic conditions. The method includes acquiring a seismic exploration volume for a sub -surface region of interest, and determining a modeling geometry for the seismic exploration volume. The method also includes,Propagate at least one wave field through seismic exploration volume using modelling geometry and initial conditions and prevent energy accumulation along the axis of symmetry of seismic research volume and ensure positive rigidity coefficients in relationships Tension -stress through the use of near -finite wave speeds, thereby producing a stable wave field. The method includes the use of the stable wave field for the generation of subsurface images of the sub -surface region of interest.
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